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Finding the Fourth Proportional to 308,706.60, 462,800.70 and 160,962.60

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Solution

The fourth proportional to 308,706.60, 462,800.70 and 160,962.60 is: 241,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,706.60 : 462,800.70 = 160,962.60 : x
  2. Step 2: Convert to fraction form
    308,706.60/462,800.70 = 160,962.60/x
  3. Step 3: Cross multiply
    308,706.60x = 462,800.70 × 160,962.60
  4. Step 4: Simplify right side
    308,706.60x = 74,493,603,953.82
  5. Step 5: Solve for x
    x = 74,493,603,953.82/308,706.60
  6. Step 6: Final answer
    x = 241,308.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.